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arXiv:1101.5705 [math.LO]AbstractReferencesReviewsResources

Connected components of definable groups and o-minimality I

Annalisa Conversano, Anand Pillay

Published 2011-01-29Version 1

We give examples of groups G such that G^00 is different from G^000. We also prove that for groups G definable in an o-minimal structure, G has a "bounded orbit" iff G is definably amenable. These results answer questions of Gismatullin, Newelski, Petrykovski. The examples also give new non G-compact first order theories.

Comments: 26 pages. This paper corrects the paper "Groups definable in o-minimal structures: structure theorem, G^000, definable amenability, and bounded orbits" by the first author which was posted in December (1012.4540v1) and later withdrawn
Categories: math.LO, math.GR
Subjects: 03C64, 22F99
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